en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1-3i)^3

Solution

simplify

(1 - 3 i)^{3}

Solution

- 26 + 18 i

Solution steps

(1 - 3 i)^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

(1 - 3 i)^{3} = 1^{3} - 3 \cdot 1^{2} \cdot 3 i + 3 \cdot 1 \cdot (3 i)^{2} - (3 i)^{3}

= 1^{3} - 3 \cdot 1^{2} \cdot 3 i + 3 \cdot 1 \cdot (3 i)^{2} - (3 i)^{3}

Simplify

1^{3} - 3 \cdot 1^{2} \cdot 3 i + 3 \cdot 1 \cdot (3 i)^{2} - (3 i)^{3} : 18 i - 26

= 18 i - 26

Rewrite in standard complex form:

- 26 + 18 i

= - 26 + 18 i

Popular Examples

simplify (-8)-(-6)simplify

(- 8) - (- 6)

simplify (5^x+5^{-x})^2 simplify

(5^{x} + 5^{- x})^{2}

4 \frac{2}{3} - 3 \frac{1}{6} + 2

expand (u+2)(u-2)(u^2+4)expand

(u + 2) (u - 2) (u^{2} + 4)

factor f^6-400 factor

f^{6} - 400

Frequently Asked Questions (FAQ)

What is (1-3i)^3 ?
The solution to (1-3i)^3 is -26+18i